A summability factor theorem by using an almost increasing sequence

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dc.contributor.authorÖğdük, H. Nedret
dc.date.accessioned2024-07-12T20:47:55Z
dc.date.available2024-07-12T20:47:55Z
dc.date.issued2009en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractWhen given an infinite series Pan with the partial sums (sn) and a normal matrix A = (anv), i. e. a lower triangular matrix of non-zero diagonal entries, A defines the sequence-to-sequence transformation, mapping the sequence s = (sn) to As = (An(s)), In this case, by | A |k summability of this infinite series we mean the convergence of the series Pn k?1 | ?An(s) | k , by Tanovic-Miller in [5], where k ? 1 and ?An(s) = An(s) ? An?1(s). Let (pn) be a sequence of positive numbers such that Pn = Pn v=0 pv ? ? as n ? ?, (P?i = p?i = 0, i ? 1). Sulaiman in [4] defined | A, pn |k summability of the series. Specifically, when anv = pv Pn , | A, pn |k summability is equivalent to | N , pn |k summability which was introduced by Bor in [1]. Bor in [2] proved the sufficient conditions for | N , pn |k summability of the series Pan?n, later Mazhar in [3] also proved under weaker conditions by using an almost increasing sequence. The object of this paper is to show that these two results can be generalized to a wide class of summability methods.en_US
dc.identifier.citationÖğdük, H. N. (2009). A summability factor theorem by using an almost increasing sequence. Maltepe Üniversitesi. s. 180.en_US
dc.identifier.endpage181en_US
dc.identifier.isbn9.78605E+12
dc.identifier.startpage180en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2047
dc.institutionauthorÖğdük, H. Nedret
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciencesen_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY01323
dc.titleA summability factor theorem by using an almost increasing sequenceen_US
dc.typeArticle
dspace.entity.typePublication

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